Answer:

Step-by-step explanation:
Given
Required
Determine the area in terms of time
From the question, we have:
-> radius per time
and
--> area from radius
The interpretation of the question is to find the composite function: a(t)
If
, and
, the
Substitute 0.5t for r



Answer:
Step-by-step explanation:
we have that

Using a graph tool
see the attached figure
The function represent a vertical parabola that open up
the vertex is a minimum-------> is the point (-0.5, -9.3)
The x-intercepts are the points when the y coordinate is equal to zero
The x-intercepts are the points (-3.5, 0) and (2.5, 0)
so
the function cross the negative x-axis at point
therefore, the answer is
(-4, 0) and (-3, 0)
Answer: 72
Step-by-step explanation: volume of a pyramid = v= lwh/3
v= 6*6*6/3
v = 216/3
v = 72
<u>Given</u>:
If you are dealt 4 cards from a shuffled deck of 52 cards.
We need to determine the probability of getting two queens and two kings.
<u>Probability of getting two queens and two kings:</u>
The number of ways of getting two queens is 
The number of ways of getting two kings is 
Total number of cases is 
The probability of getting two queens and two kings is given by

Substituting the values, we get;

Simplifying, we get;



Thus, the probability of getting two queens and two kings is 0.000133